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Classical resummation and breakdown of strong-field QED

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abstract

QED perturbation theory has been conjectured to break down in sufficiently strong backgrounds, obstructing the analysis of strong-field physics. We show that the breakdown occurs even in classical electrodynamics, at lower field strengths than previously considered, and that it may be cured by resummation. As a consequence, an analogous resummation is required in QED. A detailed investigation shows, for a range of observables, that unitarity removes diagrams previously believed to be responsible for the breakdown of QED perturbation theory.

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hep-lat 1

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2026 1

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  • Vacuum polarization in QED with an electromagnetic background from the lattice hep-lat · 2026-08-11 · conditional · none · ref 14 · internal anchor

    The paper proposes a reweighting framework that evaluates the fermion determinant ratio in the continuum via worldline methods and uses it to reweight background-free lattice QED ensembles for vacuum polarization in a strong background field.